Maths Exam

1. Simplify 1

Simplify the following expression: $$ -2 - 2 + 3 - -5 - {\left(-2 + -3\right)}^{2} $$
Correct Answer
$$ -21$$ or -21.0000

2. Simplify 2

Simplify the following expression: $$ 2\left(-1 - -4\right){\left((-3)(-2)\right)}^{\left(5 - -2\right)} $$
Correct Answer
$$ 1679616$$ or 1679620

3. Fractions 1

Simplify the following expression: $$ \frac{-3}{3} + \frac{3}{4} $$
Correct Answer
$$ \frac{-1}{4}$$ or -0.25

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-4}{2}}{\frac{4}{3}} $$
Correct Answer
$$ \frac{-3}{2}$$ or -1.5

5. Significant figures

1. Write the following to 3 significant figures: 0.0048530750
Correct Answer
0.00485 or $$4.85\times10^{-3}$$
2. Write the following to 4 significant figures: 7.6283131
Correct Answer
7.628 or $$7.628\times10^{0}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 71.8852
Correct Answer
$$7.19\times10^{1}$$
2. Write the following in standard form to 3 significant digits: 164.759
Correct Answer
$$1.65\times10^{2}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 0.00025750
Correct Answer
$$258\times10^{-6}$$
2. Write the following in preferred standard form to 4 significant digits: 5679.0
Correct Answer
$$5.679\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ 2\times1(-4)\left(\frac{4}{3} + \frac{-3}{-5}\right) $$
Correct Answer
$$ \frac{-232}{15}$$ or -15.4667

9. Simplify 1

Simplify the following expression: $$ \left(-4 + -5\right)2\times2 - {\left(-2 + 4\right)}^{2} $$
Correct Answer
$$ -40$$ or -40.0000

10. Simplify 2

Simplify the following expression: $$ \frac{2{(-1)}^{-3}}{5\times5 + -1 - 2} $$
Correct Answer
$$ \frac{-1}{11}$$ or -0.0909091


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